THE CHARACTERISTIC FUNCTION OF A COMPLEX SYMMETRIC CONTRACTION

By N. Chevrot, Emmanuel Fricain, Dan Timotin. 2006

55 citations recorded by the source corpus.

It is shown that a contraction on a Hilbert space is complex sym- metric if and only if the values of its characteristic function are all symmetric with respect to a fixed conjugation. Applications are given to the description of complex symmetric contractions with defect indices equal to 2.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/41fdcc44ef4f3e9aa3f246e4f5e930a6eb2e0383

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

Recent Progress on Truncated Toeplitz Operators (2011, unknown): “uct with distinct zeros λ1,λ2,...,λn, then the matrix representation for Au ϕ with respect to the modiﬁed Clark basis (21) is pwk |u′(ζk)| pwj |u′(ζj)| Xn i=1 ϕ(λi) u′(λi)(1−ζkλi)(1 −ζjλi) !n j,k=1 . (24) 18 Stephan Ramon Garcia and William T. Ross In particular, observe that this matrix is complex ”
Complex symmetric partial isometries (2009, background): “Furthermore, the fact that T T is the orthogonal projection onto H1 yields the identity AA + BB = I, (3)”
Which Weighted Composition Operators are Complex Symmetric (2011, result): “A number of other authors have also made significant contributions [3, 11–14,17–20].”
Aluthge Transforms of Complex Symmetric Operators (2008, unknown): “Other recent articles concerning complex symmetric operators include [11, 22, 30, 31].”
Some new classes of complex symmetric operators (2009, background): “Other recent articles concerning complex symmetric operators include [3, 11].”